11310028424135 has 192 divisors, whose sum is σ = 17666589265920. Its totient is φ = 6897332736000.

The previous prime is 11310028424131. The next prime is 11310028424159. The reversal of 11310028424135 is 53142482001311.

It is not a de Polignac number, because 11310028424135 - 2² = 11310028424131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 11310028424095 and 11310028424104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310028424131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1094760920 + ... + 1094771250.

It is an arithmetic number, because the mean of its divisors is an integer number (92013485760).

Almost surely, 2^{11310028424135} is an apocalyptic number.

11310028424135 is a deficient number, since it is larger than the sum of its proper divisors (6356560841785).

11310028424135 is a wasteful number, since it uses less digits than its factorization.

11310028424135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 11310028424135 in words is "eleven trillion, three hundred ten billion, twenty-eight million, four hundred twenty-four thousand, one hundred thirty-five".